Six-Sigma approach is a business philosophy of driving behaviour by making an organization’s values explicit in its compensation system and a business strategy of cutting costs and boosting customer satisfaction. It is vital to investigate each part of the business in such a way everyone can understand the causes of variation that can be led to improvement in both process and performance. In this paper, focuses on the elucidation of the “Six-Sigma process quality”, by another incapability index Cpp, to decide whether a given process meets the capability requirement under quality control. Further, to rapidly facilitate in more general situations suitable for engineers to apply, we also provide a comprehensive set of across multiple process indices matches criteria analysis and by rendering enhanced decision- making ability, corresponding the indices values of Cp, Cpp and ppm to a ±Kσ, with μ = T , μ≠T, and to a shifted process ± Kσ, with the indices values of match (Cp, Cpp).